Results 91 to 100 of about 8,669,989 (253)

Existence and uniqueness of positive solutions for a nonlocal dispersal population model

Electronic Journal of Differential Equations, 2014
In this article, we study the solutions of a nonlocal dispersal equation with a spatial weight representing competitions and aggregation. To overcome the limitations of comparison principles, we introduce new definitions of upper-lower solutions. The
Jian-Wen Sun
doaj  

Hyperosmotic stress‐induced redistribution of pre‐mRNA cleavage factor I subunits is associated with shifts in alternative polyadenylation

FEBS Open Bio, EarlyView.
Hyperosmotic stress triggers the relocation of the CFIm complex from the nucleus to the cytoplasm. This shift creates a nuclear ‘stoichiometric bottleneck’, limiting CFIm availability for mRNA processing. Consequently, specific mRNAs like NUDT21 and DICER1 undergo targeted 3′UTR shortening, demonstrating how spatial protein dynamics drive rapid ...
Hitomi Soumiya, Masatake Osawa, Hidefumi Fukumitsu   +2 more
wiley   +1 more source

Existence and blow-up of solutions for a semilinear filtration problem

Electronic Journal of Differential Equations, 2013
We first examine the existence and uniqueness of local solutions to the semilinear filtration equation $u_t=Delta K(u)+lambda f(u)$, for $lambda>0$, with initial data $u_0geq 0$ and appropriate boundary conditions. Our main result is the proof of blow-
Evangelos A. Latos, Dimitrios E. Tzanetis   +1 more
doaj  

Upper and Lower Solutions for m-Point Impulsive BVP with One-Dimensional p-Laplacian

Discrete Dynamics in Nature and Society, 2013
Upper and lower solutions theories are established for a kind of m-point impulsive boundary value problems with p-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained ...
Junfang Zhao, Jianfeng Zhao, Weigao Ge
doaj   +1 more source

Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins

FEBS Open Bio, EarlyView.
Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
wiley   +1 more source

Importin 7 mediates the nuclear import of HIV‐1 integrase via a specific interacting interface

FEBS Open Bio, EarlyView.
HIV‐1 integrase enables viral DNA integration into the host genome. By binding to the core domain of the host protein Importin 7 via its C‐terminal domain, the integrase is transported across the nuclear membrane into the nucleus, where integration of the viral genome into host DNA takes place. This translocation is a critical step for subsequent viral
Juana Bana, Avigail Yariv, Tal Oppenheim, Hadar Amartely, Dana Reichmann, Oded Livnah   +5 more
wiley   +1 more source

Existence and uniqueness of positive solutions to a quasilinear elliptic problem in $R^N$

Electronic Journal of Differential Equations, 2005
We prove the existence of a unique positive solution to the problem $$ -Delta _{p}u=a(x)f(u) $$ in $mathbb{R}^{N}$, $N>2$. Our result extended previous works by Cirstea-Radulescu and Dinu, while the proofs are based on two theorems on bounded ...
Dragos-Patru Covei
doaj  

Existence of multiple positive solutions for a class of first-order periodic boundary value problems

四川大学学报. 自然科学版, 2022
We investigate the existence of multiple positive solutions for a class of first-order periodic boundary value problems. The proof of the main results is based on the theories of upper and lower solutions and Leray-Schauder degree.
WU Meng-Li
doaj  

A new flow chip in combination with multiphoton microscopy as a protocol for longitudinal 3D imaging of tissue calcification under shear stress

FEBS Open Bio, EarlyView.
Miniaturized flow chip platform enabling continuous perfusion and longitudinal multiphoton 3D imaging of vascular smooth muscle cell constructs under physiological flow. Brightfield imaging guides region selection, while CellTracker Green and mRuby‐labeled fetuin‐A visualize cells and mineral deposition, respectively. Magnesium supplementation markedly
Vytautas Kučikas, Aaron D. Morgan, Ignas Čiurlionis, Christian Böhm, Stefan Jockenhövel, Willi Jahnen‐Dechent, Marc A. M. J. van Zandvoort   +6 more
wiley   +1 more source

Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model

Advances in Difference Equations, 2019
In this paper, we prove the existence of a critical traveling wave solution for a delayed diffusive SIR epidemic model with saturated incidence. Moreover, we establish the nonexistence of traveling wave solutions with nonpositive wave speed for this ...
Yueling Cheng, Dianchen Lu, Jiangbo Zhou, Jingdong Wei   +3 more
doaj   +1 more source